In June Gemma paid £68 for her electricity.
In July she will pay 5% more for her electricity.
Work out how much Gemma will pay for her electricity in July.

It is not possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs.

These are equations that is made of unknown variables.

Let the time she dances be x

Let the time she runs be y

If Jackie runs and dances for a total of 55 minutes every day, the;

x + y = 55 ............ 1

If She dances for 25 minutes longer than she runs, then;

x = y + 25 ............. 2

The pair of equation are x + y = 55 and x = y + 25

Substitute 2 into 1

y + 25 + y= 55

2y .= 30

y = 15

He spent 15 minutes running everyday

x = 55 - 15

x= 40minutes

It is not possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs.

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Answer:

a:x+y=55

x=y-25

b: x = 15 minutes

c: No

Step-by-step explanation:

Part A: x=y-25

x+y=55

Part B:if x-y=-25 / x+y=55

2x=30

x=15 minutes she runs.

Part C:No because 45 + 25 = 70 and 70+45 = 115 and 115>55

Answer:

This actually is false, it doesn't always work.

Step-by-step explanation:

Such as,

256 x 1/2 =

128.

The last digit isn't a 3, it's an 8.

Another Example,

176 x 1/2 =

88.

The last digit is also an 8 here, and not a 3.

It does work for some equations, but not for most of them, hope this helps!

Answer:

Step-by-step explanation:

he can travel only with this gas 30×18=540 miles one way.

Answer:

m<C = 180 - (90+32)

= 180 - 122

= 58°

Answer:

Yearly compounding: 7.75% $5,686.85

Quarterly compounding: 7.978% $5,857.78

Monthly compounding: 8.031% $5,898.27

Daily compounding: 8.057% $5,918.20

Step-by-step explanation:

multiply yearly by 14

Step-by-step explanation:

ang acb of arc amb= 130°

ang acb of arc apb = 230°

length of arc = 5*230/360 = 3.19 cm

Answer:

D. [tex]y + 6 =- \frac{1}{4} (x+2)[/tex]

Step-by-step explanation:

We are given that a line is parallel to the line y=-1/4x-7 and passes through (-2, -6).

We want to write the equation of this line.

First, we need to know that parallel lines have the same slope.

In y=-1/4x-7, the slope of the line is -1/4; it is also the slope of the line parallel to it.

All of the answers in your system are written in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

As we already know the slope and the point, we can plug these values into the formula.

Starting with the slope; as found above, the slope is -1/4. Therefore, the equation will then be:

[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]

Now substitute -2 and -6 as [tex]x_1[/tex] and [tex]y_1[/tex] respectively (note: we have NEGATIVE numbers, and SUBTRACTION in the formula, so we will end up subtracting a negative).

[tex]y--6=-\frac{1}{4} (x--2)[/tex]

We can simplify this to become:

[tex]y+6=-\frac{1}{4} (x+2)[/tex]

Therefore, D is the answer.

Answer:

y+6= -4(x+2)

Step-by-step explanation:

Answer:

150 laptops because 70% of the total devices are laptop computers and desktop computers so the remaining 30% of the devices are tablet. 500×0.30= 150.

Answer:

[tex] \boxed{ \rm\angle P = \tt174{ {}^ \circ} }[/tex]

Step-by-step explanation:

Given,

In a quadrilateral.

To Find:

Solution:

We know that in quadrilateral MNPQ,

[tex] \rm \: \boxed{ \rm ∠M +∠ N +∠ P+ ∠Q = 360 ^{ \circ}}[/tex]

[tex] \rm \implies \: 48 {}^ \circ + 80 {}^ \circ + \angle P + \cfrac{1}{3} \angle \: P = 360 {}^{\circ}[/tex]

[tex] \rm \implies \angle P + \cfrac{1}{3}\angle P = 360 { {}^ \circ} - 48{ {}^ \circ} - 80 {{}^ \circ} [/tex]

[tex] \implies \rm \: \cfrac{4}{3} \angle P = 232 {{}^ \circ} [/tex]

[tex] \rm \: \implies \: \angle P = 232 {}^{\circ} \times \cfrac{3}{4} [/tex]

[tex] \rm \implies \: \angle P = 174{ {}^ \circ} [/tex]

Thus, ∠P will be 174° .

Answer:

x^3 + 3x^2 - 16x - 48.

Step-by-step explanation:

(x - 4)(x + 3)(x + 4)

= (x - 4)(x + 4)(x + 3)

= (x^2 - 16)(x + 3)

= x^3 + 3x^2 - 16x - 48.

Answer:

68 ft^2

Step-by-step explanation:

The shaded region is a square missing a triangle. Thus, the area of the shaded region = area of square - area of triangle

Thus, we get 8*9 - 1/2 * 2 * 4 = 72 - 4 = 68 square feet.

Answer:

\log_{b}({b^x})=x

Step-by-step explanation:

hope this helps

Answer:

here the answer ask if theres any prob

Answer:

V≈0.064

Tip:

just to help you for future note with finding volume with fractions is you use a calculator and do the top divided by the bottom and it should give you a decimal

The solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

X + 300 < 450

X <  450 - 300   (subtract 300 on both sides)

X <  150

X ∈ (-∞, 150)

Thus, the solution set for the inequality X + 300 < 450 is X∈ (-∞, 150) when X is less than 150.

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Answer:

Fraction is 6 over 9 percentage is 0.54%

Hope This Helped

Answer:

C

Step-by-step explanation:

what happens, when you rotate something around a pole ? what shape is the most outside point making around that pole ?

a circle, of course.

that means rotating the rectangle around the x-axis creates a round object (with the bottom area being a circle).

so, all answers about a prism (rectangular bottom shape) are automatically wrong.

again, just imagine to rotate a small sheet of paper around a pole (the x-axis acts like one in this scenario).

the result is a solid with a circular bottom area, and it maintains this shape all the way to the top.

it is a cylinder !

and what is its radius ?

well, the outermost point of the rectangle is 8 points away from the x-axis. when we rotate this rectangle, that attribute remains, of course. and every point on the side surface of the resulting cylinder has the same distance from the central x-axis : 8.

so, the radius is 8.

and the volume of a cylinder is

ground area × height = pi×r² × height

in our case

pi×8² × 5 (the width or "height" of the rectangle) = pi×64 × 5 = 320×pi

Answer:

12 degrees hopefully its right it might be wrong tho if its im sorry at least i tried to help

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Answer:

[tex]slope = \frac{-15}{0}[/tex] = Undefined

Step-by-step explanation:

To find the slope of these two points we use the slope formula

[tex]slope = \frac{(y_{2} - y_{1})}{(x_{2}-x_{1})}[/tex]

[tex]slope = \frac{((-8) - 7)}{((-5)-(-5))}[/tex]

[tex]slope = \frac{-15}{0}[/tex]  The slope would be classified as undefined

In the graph of quadratic equation, the parabola passes through the points left parenthesis (-2,0) right parenthesis, left parenthesis (0,-4) right parenthesis, and left parenthesis (2,0) right parenthesis.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

The given quadratic equation is,

[tex]f(x)=x^2+4[/tex]

Equate the equation to zero to solve it further,

[tex]x^2=4\\x^2-4=0\\x^2=4\\x=\sqrt{4}\\x=\pm2[/tex]

Thus, the solution of the equation is +2 and -2. The graph of the equation is attached below.

Hence, in the graph of quadratic equation, the parabola passes through the points left parenthesis (-2,0) right parenthesis, left parenthesis (0,-4) right parenthesis, and left parenthesis (2,0) right parenthesis.

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Answer:

y = 113

Step-by-step explanation:

Two adjacent angles of a parallelogram are always supplementary.

The number of steps per mile for a person who is 64 inches tall will be 2354.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Some pedometers have a default setting that assumes that the number of steps a person must take to walk 1-mile decreases by 33 steps per 1-inch increase in height.

Suppose a person 72 inches tall makes 2,250 steps per mile.

70 inches tall makes 2150 steps per 1 mile.

For every inch of height gain, the count of steps required to walk a mile drops by 34.

If the count of steps is S and the height is h, we have the following issue.

S = 2150 - 34(h -70)

Therefore the linear model will be

S = 2150 -34(h - 70)

Now for h = 64, we have

S = 2150 - 34(64 - 70)

S = 2150 - 34 ( -6)

S = 2150 + 204

S = 2354

The number of steps per mile for a person who is 64 inches tall will be 2354.

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Answer: slope is 7 and y-intercept is 11

Step-by-step explanation:

y = 7 + 5x + 2x + 4

combine like terms

y = 11 + 7x

rearange

y = 7x + 11

slope is 7 and y-intercept is 11

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       What is the slope of the line y=7+5x+2x+4? What about the y-intercept?

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

     First, we need to combine like terms:-

                [tex]\Large\text{y=7+4+5x+2x}[/tex]

[tex]\bigstar[/tex] On simplification,

              [tex]\Large\text{y=11+7x}[/tex]

[tex]\bigstar[/tex] We can rearrange the terms a little:-

                        [tex]\Large\textit{y=7x+11}[/tex]

Now we can easily determine the slope and the y-intercept of the line.

                    Slope = number multiplied by x

                     y-intercept = a number added to or subtracted from x

                [tex]\Large\text{Slope=7 \& y-intercept=11}[/tex]

#TogetherWeGoFar

       [tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.